In: Statistics and Probability
Independent Samples t-test in SPSS
Homeless Without Disability (Xt} |
Homeless With Disability (X2) |
15 |
12 |
17 |
22 |
15 |
25 |
13 |
20 |
19 |
15 |
23 |
18 |
18 |
17 |
10 |
15 |
Part a
Review the output from SPSS to determine whether there is a statistically significant difference between the two groups.
From given SPSS output, we get the p-value for this test as 0.406 which is greater than the default level of significance or alpha value 0.05. So, we do not reject the null hypothesis. This means there is insufficient evidence to conclude that there is a statistically significant difference between the two groups.
Part b
Write up your results in APA/Tablet format (like in the the Tegrity lecture)
We reject the null hypothesis (t = -0.857, df = 14, p = 0.406) at 5% level of significance. There is insufficient evidence to conclude that there is a statistically significant difference between the two groups.
Results are not significant. From given descriptive statistics the group homeless with disability have a higher level of depression than the group homeless with disability.
Required SPSS outputs are given as below:
Group Statistics |
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Type |
N |
Mean |
Std. Deviation |
Std. Error Mean |
|
Depression Level |
Homeless Without Disability |
8 |
16.2500 |
3.95511 |
1.39834 |
Homeless With Disability |
8 |
18.0000 |
4.20883 |
1.48805 |
Independent Samples Test |
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Levene's Test for Equality of Variances |
t-test for Equality of Means |
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F |
Sig. |
t |
df |
Sig. (2-tailed) |
Mean Difference |
Std. Error Difference |
95% Confidence Interval of the Difference |
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Lower |
Upper |
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Depression Level |
Equal variances assumed |
.045 |
.834 |
-.857 |
14 |
.406 |
-1.75000 |
2.04197 |
-6.12959 |
2.62959 |
Equal variances not assumed |
-.857 |
13.946 |
.406 |
-1.75000 |
2.04197 |
-6.13118 |
2.63118 |